Answer:
Perimeter = 29 cm
Area = 49.5
![cm^(2)](https://img.qammunity.org/2021/formulas/mathematics/college/3egjq6yu0jjhb68fk7b08bmp2b67onyx3n.png)
Explanation:
Perimeter:
This one's easy..just add the lengths of all the sides! P = 9.5 + 6 + 7 + 6.5, which simplifies to 29 cm.
Area:
The area of the rectangle would be the length of it's two opposing sides multiplied, or 6*7, which would be 42
. Next we need to find the length of the smallest side of the triangle (the one on the far left). To find this, we just need to subtract the length of the rectangle's 7 cm side from the length of the rectangle's side and the length of the smallest side of the triangle. This would be
9.5 cm - 7 cm, which simplifies to 2.5 cm. To find the area of the triangle, it would be
, where a and b are the lengths of its base and height (not its hypotenuse). So now for the triangle, we have
, which simplifies to 7.5
. Now just add the two areas to get the total area of the shape..42
+ 7.5
= 49.5
.